4) C+ 4 pd

Q: 2: Let A = Compute A2021

A:

Q: 2. Let f(x) = x - 5 and g(x) = x² +3x. a) Find (f + g)(x) b) Find (f – g)(x) c) Find (f g)(x) d)…

A:

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: Compute following defuik ikgrals the (n(s)) SP

A: the solution is given below

Q: Let a, b, x, y ∈Zbe such that ax+by= 11. May we conclude that gcd(a, b) = 11?Why or why not? (Write…

A: Consider the given information:Let a,b,x,y∈ℤ be such that ax+ by=11.

Q: what

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Q: The number of units in z3,[x] is 30

A: We know that, any ring given as ℤpx  will have  (p - 1) units

Q: n) the Integral evalu ate car 1- (X² +3) e Xdx

A: Given integral Apply integration by parts formula to integrate

Q: 5 Find

A: To find the integral, first use the sum and difference rule and separate the integral.…

Q: find the'mters ection d Exe sy,z]= [a,0,31++ 4,-2,178 [+sy,z]=[6,-12,--11]+5 [1,2,4]?

A:

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

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Q: EXERCISES 4.1 Which elements of (Z₁0, ). are contained in ?

A:

Q: 7. Theorem 94 I (9x-25)

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Q: Show that gcd(a,n)=1 if these exist m and k such that ma+nk = 1.

A:

Q: asing a calculator, express 6(1+ v3)¯² in the form a+bV3, where

A:

Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

A:

Q: Suppose X~N(113,18), and Z~N(0,1). Then x = 94, is equivalent to z = ______.

A: Given that, Suppose X~N(113,18), and Z~N(0,1). Here, mean μ=113 and standard deviation σ=18